This unit combines skills originally covered by Edexcel's SoW modules: Edexcel module 1-16, Edexcel module H1.9 and Edexcel module H2.1.
The References, Prior Learning, Key Objectives, Differentiation and Notes are drawn together summatively from these Edexcel modules.
Time allocation: 6 to 14 hours
GCSE Scheme of Work Higher skillsfor teaching 2009-2011

GCSE GM2 - perimeter area and volume

grade
level
learning objective
learning activity
A*
10
¨Tackle problems that bring together different aspects of mathematics and may involve multiple variables. Identify some variables and investigate them systematically; the outcomes of which are used in solving the problem.

10
¨identify and use mathematics accurately in a range of contexts; choose methods of mathematical communication appropriate to the context.

A
9


9


B
8
¨understand the difference between formulae for perimeter, area and volume in simple contexts by considering dimensions.

8


C
7
¨calculate lengths, areas and volumes in plane shapes and right prisms.

7
¨calculate lengths, areas and volumes in plane shapes and right prisms.

7


D
6
¨Visualise and use 2-D representations
of 3-D objects
Icard sort activity taken from the standards unit also includes a computer program on elevations and plansStandards Unit SS6 - Representing 3D shapes.pdfÊopportunity for paired or small group workÊPLTs team worker – ‘work alongside others’ and ‘take part in discussions’^ opportunity for paired or small group work8use standards unit building houses program.ÊPLTs independent enquirer – ‘identify questions to answer and problems to sort out’&Edexcel Unit 2 pupil book higher Ex 14D page 186 & ex 14E page 188üInteractive whiteboard tool for demonstrating plans & elevations.http://illuminations.nctm.org/ActivityDetail.aspx?ID=125"………………………………………………………………………………………

D
6
¨deduce and use the formulae for the area of a triangle and parallelogram, and the volume of a cuboid; calculate volumes and surface areas of cuboids.
8Use GSP to look at the area of different polygonsArea of different Polygons.gsp^ opportunity for rich and open-ended task^ PLTs independent enquirer – ‘analyse information and judge how important it is’ and ‘back up my conclusions using thoughtful arguments and reasons’&Edexcel Unit 2 pupil book Higher Ex 14A page 180 (calculating areas of triangles and parallelograms)&Edexcel Unit 2 pupil book Ex 14F page 189 ( calculating the volume of a cuboid) &Edexcel Unit 2 pupil book Ex 14H page 193 ( calculating the surface area of a cuboid) ¸ Teachers’ TV video on surface area – a good introductionSurface Area Starter.wmv¸Teachers’ TV video on volume. – nice introduction to volume of a prism (however also talks about cylinders which don’t come up inthis unit)Inside Maths Volume.wmv



E

¨understand and use the formula for the area of a rectangle and distinguish area from perimeter




F

¨use the properties of 2-D and 3-D shapes


¨make 3-D models by linking given faces or edges and draw common
2-D shapes on different orientations on grids


¨find perimeters of simple shapes and points and find areas by counting squares

G




¨begin to recognise nets of familiar 3-D shapes, e.g. cube, cuboid, triangular prism, square-based pyramid